Answer:
(a)9
(b)I. 0.28125
II. 0.46875
III. 0.25
Step-by-step explanation:
There are a total of 32 students, therefore the number of elements in the Universal set, n(U)=32
(a)The Venn diagram is attached below.
Therefore, 9 students play both the violin and piano.
(b)
I. Probability that the student plays the violin but not the piano
Number of Students who play violin only =18-x=18-9=9
ii.Probability that the student does not play the violin
Number of Students who does not play violin only =17-x+7=17-9+7=15
P(does not play violin only)
iii.Probability that the student plays the piano but not the violin
Number of Students who play piano only =17-x=17-9=8
Answer:
BC = 35 units
Step-by-step explanation:
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<em>∙•❁ </em>Okay time to solve this Step-By-Step.<em>❁•∙ </em>
16−<span>2n</span>−5+<span>8n</span>=<span>65
<em>∙•❁ </em>So the first part we need to Simplify both sides of this equation, so:
<span><span><span><span>16−<span>2n</span></span>−5</span>+<span>8n</span></span>=65
<em>∙•❁ </em>We are going to simplify this Step-By-Step.
<span><span><span><span>16−<span>2n</span></span>−5</span>+<span>8n</span></span>=65
</span><span><span><span><span><span><span>16+</span>−<span>2n</span></span>+</span>−5</span>+<span>8n</span></span>=65
<em>∙•❁ </em>Combine like terms:
</span><span><span><span><span>
(<span><span>−2n</span>+8n</span>)</span>+<span>(<span>16+−5</span>)</span></span>=65 </span>
<span><span>6n+11</span>=65
</span><span><span><span>6n</span>+11</span>=65
<em>∙•❁ </em>Now subtract 11 from both sides.
<span><span><span><span>6n</span>+11</span>−11</span>=<span>65−11
</span></span><span><span>6n</span>=54
<em>∙•❁ </em>Now divide both sides by 6 and you'll get your answer:
6n/6=54/6
<em>∙•❁ </em>Your final answer is:
n=9
<em>∙•❁I hope this helps!❁•∙ </em> </span></span></span></span></span>
Answer:
It's the second option
Step-by-step explanation:
The x moves over to the right for a positive 3
The y moves up for a positive 4.
Hope this helps! :)
Answer:
so draw out a graph
Step-by-step explanation:
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1 2 3 4 5
